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Finding the Fourth Proportional to 651.95, 899.70 and 357.21

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Solution

The fourth proportional to 651.95, 899.70 and 357.21 is: 492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.95 : 899.70 = 357.21 : x
  2. Step 2: Convert to fraction form
    651.95/899.70 = 357.21/x
  3. Step 3: Cross multiply
    651.95x = 899.70 × 357.21
  4. Step 4: Simplify right side
    651.95x = 321,381.84
  5. Step 5: Solve for x
    x = 321,381.84/651.95
  6. Step 6: Final answer
    x = 492.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.